{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,4]],"date-time":"2026-01-04T22:52:23Z","timestamp":1767567143682,"version":"build-2065373602"},"reference-count":25,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2022,3,3]],"date-time":"2022-03-03T00:00:00Z","timestamp":1646265600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Symmetry is a fascinating property of numerous mathematical notions. In mathematical analysis a function f:[a,b]\u2192R symmetric about a+b2 satisfies the equation f(a+b\u2212x)=f(x). In this paper, we investigate the relationship of unified Mittag\u2013Leffler function with some known special functions. We have obtained some integral transforms of unified Mittag\u2013Leffler function in terms of Wright generalized function. We also established a recurrence relation along with another important result. Furthermore, we give formulas of Riemann\u2013Liouville fractional integrals and fractional integrals containing unified Mittag\u2013Leffler function for symmetric functions.<\/jats:p>","DOI":"10.3390\/sym14030523","type":"journal-article","created":{"date-parts":[[2022,3,3]],"date-time":"2022-03-03T20:36:30Z","timestamp":1646339790000},"page":"523","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["More on the Unified Mittag\u2013Leffler Function"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4504-6200","authenticated-orcid":false,"given":"Chahnyong","family":"Jung","sequence":"first","affiliation":[{"name":"Department of Business Administration, Gyeongsang National University, Jinju 52828, Korea"}]},{"given":"Ghulam","family":"Farid","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan"}]},{"given":"Hafsa","family":"Yasmeen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, COMSATS University Islamabad, Attock Campus, Attock 43600, Pakistan"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7469-5402","authenticated-orcid":false,"given":"Kamsing","family":"Nonlaopon","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, Thailand"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,3]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1186\/2193-1801-2-337","article-title":"On some properties of the generalized Mittag\u2013Leffler function","volume":"2","author":"Khan","year":"2013","journal-title":"SpringerPlus"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"127","DOI":"10.4236\/apm.2013.31017","article-title":"On a unification of generalized Mittag\u2013Leffler function and family of Bessel functions","volume":"3","author":"Prajapati","year":"2013","journal-title":"Adv. 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